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Casey’s bedroom is shaped like a square. The distance between opposite corners is 12√2 feet. How long is each side of the bedroom?

User TheEye
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1 Answer

1 vote

Answer:

12 feet

Explanation:

You want the length of the side of a square with a diagonal length of 12√2.

Diagonal of a square

The diagonal of a square is the hypotenuse of a right triangle with equal-length sides. Such an isosceles right triangle has side lengths in the ratio ...

1 : 1 : √2

That is, the hypotenuse is √2 times the side length.

The given hypotenuse is 12√2, so the side length is 12.

Each side of the bedroom is 12 feet.

User Magohamote
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